In this work, we explore the potentiality of future GW measurements to probe the cosmic opacity at high redshifts through comparing its opacity-free luminosity distance (LD) with the opacity-dependent one from the combination of SNIa and GRBs data. GW data points are simulated from the ET, the SNIa data are simulated from the Pantheon compilation [1]}, and GRB data are simulated from the latest catalogue which are obtained with a cosmological model-independent technique to overcome the circularity problem[2]}. To match the GW data with the combination of SNIa and GRB data at the same redhsift, we employ the Gaussian process [3]}, [4]} to reconstruct the continuous LD function from the mock GW measurements or the combination of SNIa and GRB data.
In our analysis, we first probe the spatial
homogeneity of the cosmic transparency by using non-parametric method. Then, we test the cosmic opacity by adopting two types of parameterizations for the optical depth. Compared to previous results, our analyses show that future measurements of GW will be an important tool to probe cosmic opacity at high redshifts.
